Paving up to the door - how to finish?

Leave a 2 cm gap, fill it with gravel and that's fine.

yes, that has been the plan so far. But is that how it's normally done? Are there no problems with moisture running behind? (everything that runs down the wall when it rains, there is no drip edge, and I don't want to drill)

Dimpled membrane against the house wall, paving up to the dimpled membrane and then cut it flush

Yes exactly, but then? Just leave the gap above the dimpled membrane open? Cutting it flush means that if you look closely you can see the dimpled membrane. Covering it would be better.

Yes, exactly, but then? Just leave the gap above the dimple membrane open? Cutting it flush also means that if you look closely, you can see the dimple membrane. Covering it up would be better.

Then just cut the dimple membrane 1-2cm below the paving.

Then just cut the studded membrane 1-2 cm below the paving.

as already said above, I would do the same

and yet there remains a gap that I find unsightly

the previous solution was simply to pour gravel in there.
If that doesn’t bother anyone, I would consider that the "solution".

The previous solution was simply to pour split in there. If that doesn’t bother anyone, I would consider that the "solution."

Split, sand... as you like.

Thank you, then I'll do it that way.

There are also wall connection strips for the studded foil. This prevents anything from leaking behind, although an awning already helps a lot.